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PreprintCC BY-NC-SA 4.0arXiv

Impedance in Periodically Driven Stochastic Systems

  • Bart Wijns
  • Branko Meeus
  • Jef Hooyberghs
  • Bart Cleuren
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Abstract

We study the time-dependent currents arising in periodically driven stochastic systems. In the linear regime of small driving, a closed expression is obtained for the impedance/admittance associated with these currents. This expression leads directly to an interpretation in terms of an equivalent electrical circuit. For a stochastic system with N states, the electrical circuit consists of precisely N parallel branches, with each branch comprising a resistor and a capacitor in series. The low- and high-frequency limits of these currents are calculated, and the results are generalized to more general current expressions. We demonstrate our findings across several archetypal settings, illustrating the potential to detect specific broken symmetries or the graph topology associated with the stochastic process.

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Cite

BibTeXRIS
BibTeX
@misc{wijns2026impedance,
  title = {{Impedance in Periodically Driven Stochastic Systems}},
  author = {Bart Wijns and Branko Meeus and Jef Hooyberghs and Bart Cleuren},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02458},
  eprint = {2609.02458},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02458},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Impedance in Periodically Driven Stochastic Systems
AU  - Bart Wijns
AU  - Branko Meeus
AU  - Jef Hooyberghs
AU  - Bart Cleuren
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02458
UR  - https://arxiv.org/abs/2609.02458
AB  - We study the time-dependent currents arising in periodically driven stochastic systems. In the linear regime of small driving, a closed expression is obtained for the impedance/admittance associated with these currents. This expression leads directly to an interpretation in terms of an equivalent electrical circuit. For a stochastic system with N states, the electrical circuit consists of precisely N parallel branches, with each branch comprising a resistor and a capacitor in series. The low- and high-frequency limits of these currents are calculated, and the results are generalized to more general current expressions. We demonstrate our findings across several archetypal settings, illustrating the potential to detect specific broken symmetries or the graph topology associated with the stochastic process.
ER  -